Several made substantial progress. Only one got all the way there. Rewriting Mathematics Jacob Lurie’s first paper on infinity category theory was inauspicious. On June 5, 2003, the 25-year-old ...

Other mathematicians had previously developed infinity categories in different models. While those efforts were far less comprehensive than Lurie’s, they’re easier to work with in some situations.

What if the equal sign — the bedrock of mathematics — was a mistake? A growing number of mathematicians, led in part by Jacob Lurie at the Institute for Advanced Study, want to rewrite their field, ...

But he was pleased with this year’s choice of winners in mathematics—Sir Simon Donaldson, Maxim Kontsevich, Jacob Lurie, Terence Tao, and my collaborator Richard Taylor, who among them cover ...

Halzen is a physicist at the University of Wisconsin at Madison. Jacob Lurie is rewriting how mathematicians understand complicated geometric objects. Jacob Lurie is changing how mathematicians ...